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a 68-g bar of gold is cut into 3 equal pieces. how does the density of each piece compare to the density of the original gold bar?
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the density would be the same because \[denisty=\frac{mass}{volume}\]
density is not dependent on how much of something you have. Unless you change the composition, the density will remain the same.
The density is the same because both the volume and the weight (mass) are decreased by the same amount (1/3), and it's a proportional relationship.
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